Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 790, 205, 91, 390 i.e. 1 largest integer that divides all the numbers equally.
GCD of 790, 205, 91, 390 is 1
GCD(790, 205, 91, 390) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 790, 205, 91, 390 is 1
GCD(790, 205, 91, 390) = 1
Given Input numbers are 790, 205, 91, 390
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 790
List of positive integer divisors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 205
List of positive integer divisors of 205 that divides 205 without a remainder.
1, 5, 41, 205
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Greatest Common Divisior
We found the divisors of 790, 205, 91, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 205, 91, 390 is 1.
Therefore, GCD of numbers 790, 205, 91, 390 is 1
Given Input Data is 790, 205, 91, 390
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 790 is 2 x 5 x 79
Prime Factorization of 205 is 5 x 41
Prime Factorization of 91 is 7 x 13
Prime Factorization of 390 is 2 x 3 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(790, 205) = 32390
GCD(790, 205) = ( 790 x 205 ) / 32390
GCD(790, 205) = 161950 / 32390
GCD(790, 205) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 91) = 455
GCD(5, 91) = ( 5 x 91 ) / 455
GCD(5, 91) = 455 / 455
GCD(5, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 390
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 390) = 390
GCD(1, 390) = ( 1 x 390 ) / 390
GCD(1, 390) = 390 / 390
GCD(1, 390) = 1
GCD of 790, 205, 91, 390 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 790, 205, 91, 390?
GCD of 790, 205, 91, 390 is 1
2. Where do I get the detailed procedure to find GCD of 790, 205, 91, 390?
You can find a detailed procedure to find GCD of 790, 205, 91, 390 on our page.
3. How to find GCD of 790, 205, 91, 390 on a calculator?
You can find the GCD of 790, 205, 91, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.